K13n3479
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Polynomial invariants
| Jones polynomial | Data:K13n3479/Jones Polynomial |
| Alexander polynomial | [math]\displaystyle{ -t^4+4 t^3-9 t^2+16 t-19+16 t^{-1} -9 t^{-2} +4 t^{-3} - t^{-4} }[/math] |
| Conway polynomial | Data:K13n3479/Conway Polynomial |
| Determinant | 79 |
| Signature | 2 |
| HOMFLY-PT polynomial | [math]\displaystyle{ -z^8 a^{-4} -5 z^6 a^{-4} +z^6 a^{-6} -2 z^4 a^{-2} -7 z^4 a^{-4} +3 z^4 a^{-6} +z^4-5 z^2 a^{-2} +2 z^2 a^{-6} +3 z^2-3 a^{-2} +3 a^{-4} - a^{-6} +2 }[/math] |
| Kauffman polynomial | [math]\displaystyle{ z^{10} a^{-4} +z^{10} a^{-6} +z^9 a^{-1} +z^9 a^{-3} +4 z^9 a^{-5} +4 z^9 a^{-7} -z^8 a^{-2} -2 z^8 a^{-4} +6 z^8 a^{-6} +6 z^8 a^{-8} +z^8-9 z^7 a^{-1} -7 z^7 a^{-3} -5 z^7 a^{-5} -3 z^7 a^{-7} +4 z^7 a^{-9} +5 z^6 a^{-4} -17 z^6 a^{-6} -14 z^6 a^{-8} +z^6 a^{-10} -7 z^6+21 z^5 a^{-1} +24 z^5 a^{-3} -z^5 a^{-5} -14 z^5 a^{-7} -10 z^5 a^{-9} +15 z^4 a^{-2} +3 z^4 a^{-4} +8 z^4 a^{-6} +5 z^4 a^{-8} -2 z^4 a^{-10} +13 z^4-14 z^3 a^{-1} -17 z^3 a^{-3} +3 z^3 a^{-5} +12 z^3 a^{-7} +6 z^3 a^{-9} -14 z^2 a^{-2} -7 z^2 a^{-4} -2 z^2 a^{-6} +z^2 a^{-10} -8 z^2+2 z a^{-1} +3 z a^{-3} -z a^{-5} -3 z a^{-7} -z a^{-9} +3 a^{-2} +3 a^{-4} + a^{-6} +2 }[/math] |
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